具有非负Ricci曲率和大体积增长的开流形

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 475-481.

• • 下一篇

具有非负Ricci曲率和大体积增长的开流形

Department of Mathematics Central China Normal University,Department of Mathematics,Central China Normal University,,Wuhan 430079,China,Wuhan 430079,China

收稿日期:2004-04-07 出版日期:2006-12-30 发布日期:2023-11-17
作者简介:XU Sen-lin(1962-),male,native of Suzhou,Jiangsu,a professor of Central China Normal University,engages in differential geometry;SONG Bing-yu(1977-),female,native of Jiangshan,Hubei,engages in differential geometry
基金资助:
Supported by the NNsF of china(10371047)；

Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth

Department of Mathematics Central China Normal University,Department of Mathematics,Central China Normal University,,Wuhan 430079,China,Wuhan 430079,China

Received:2004-04-07 Online:2006-12-30 Published:2023-11-17
About author:XU Sen-lin(1962-),male,native of Suzhou,Jiangsu,a professor of Central China Normal University,engages in differential geometry;SONG Bing-yu(1977-),female,native of Jiangshan,Hubei,engages in differential geometry
Supported by:
Supported by the NNsF of china(10371047)；

摘要/Abstract

摘要： In this paper,we prove that a complete n-dimensional Riemannian manifold with nonnegative kth-Ricci curvature,large volume growth has finite topological type provided that ... for some constant ε＞0.We also prove that a complete Riemannian manifold with nonnegative kth-Ricci curvature and under some pinching conditions is diffeomorphic to Rⁿ.

关键词: Excess , function;large , volume , growth;nonnegative , kth-Ricci , curvature

Abstract: In this paper,we prove that a complete n-dimensional Riemannian manifold with nonnegative kth-Ricci curvature,large volume growth has finite topological type provided that ... for some constant ε＞0.We also prove that a complete Riemannian manifold with nonnegative kth-Ricci curvature and under some pinching conditions is diffeomorphic to Rⁿ.

Key words: Excess , function;large , volume , growth;nonnegative , kth-Ricci , curvature

中图分类号:

O186.16

徐森林, 宋冰玉. 具有非负Ricci曲率和大体积增长的开流形[J]. 数学季刊, 2006, 21(4): 475-481.

XU Sen-lin, SONG Bing-yu. Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 475-481.

具有非负Ricci曲率和大体积增长的开流形

Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价